I'm toying with my own Loyalist SM Chapter, a kind of Search and Rescue focused Chapter based outside the Segmentum Obscurus. I have a basic organization worked out (their not a Codex Chapter) but I'm hung up on the name. I want them to recruit mainly from Ice Worlds and Bears will figure prominently in their iconography and traditions but I have no idea what the heck to name them.

What legion are they originally descended from? Or are they a unique one?

"You've all been selected for this mission because you each have a special skill. Professor Hawking, John Leslie, Phil Neville, the Wu-Tang Clan, Usher, the Sugar Puffs Monster and Daniel Day-Lewis! Welcome to Operation MindFuck!"

I absolutely love Battle Tech. I think the Ghost Bears are perfect for you. They are a very family based clan. Mothers, fathers, bothers and sisters all serving together. They also prize working in small groups which is good for your SARTs idea.

With that revelation I think I'll make it a common practice for brothers to be inducted and serve together, kind of hard to work fathers in there unless they offer free IVF or something to the locals but stranger things happen in the Imperium.